TAILIEUCHUNG - Advances in Robot Kinematics - Jadran Lenarcic and Bernard Roth (Eds) Part 11

Tham khảo tài liệu 'advances in robot kinematics - jadran lenarcic and bernard roth (eds) part 11', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | QUANTITATIVE DEXTEROUS WORKSPACE COMPARISONS Juan A. Carretero and Geoff T. Pond Department of Mechanical Engineering University of New Brunswick 15 Dineen Dr. Fredericton NB E3B 5A3 Canada @ Abstract Using a novel method for the formulation of Jacobian matrices this paper will compare the dexterity of two parallel manipulators the 3-PRS and 3-RPS. The newly obtained Jacobian matrix is square and dimensionless and its singular values have an evident physical meaning. These singular values are used to identify and compare regions of the manipulators workspaces where either high end e ector velocities or a fine resolution over the manipulator pose may be obtained. Workspace plots for the two manipulators corresponding to these attributes are presented and compared for arbitrarily chosen architectural parameters. The objective of the comparison is to illustrate the capability of the described method to quantitatively compare the dexterity of various complex degree of freedom manipulators. Keywords Parallel manipulators Jacobian matrices singular value decomposition workspace dexterity complex degrees of freedom 1. Introduction Studying the workspace characteristics of manipulators having either translational degrees of freedom DOF or rotational DOF is simplified due to the dimensional consistency within the manipulator s Jacobian matrix . Tsai and Joshi 2000 . However for manipulators having DOF in both translational and rotational directions the conventional method of studying the workspace characteristics using the Jacobian matrix condition number is no longer possible. This is due to dimensional inconsistencies within the manipulator s Jacobian matrix. Recently a method has been introduced by Pond and Carretero 2006 which produces a dimensionally homogeneous Jacobian matrix regardless of the manipulator s degrees of freedom provided that only one type of actuator either revolute or prismatic is used in the manipulator .

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